ELECTROACOUSTIC RESONANCES IN A NONUNIFORM PLASMA,

Abstract

In this work, a theory of the electroacoustic resonances of a nonuniform plasma that is based upon an expansion of the Vlasov equation is presented. The results of the expansion, when combined with Maxwell's equations, yield a single differential equation describing the rf acceleration as a function of distance into the plasma. The solution for the eigenmodes of a diffusion controlled plasma are obtained using a boundary condition that is based upon the reflection of electrons from the steady electric field in the plasma. The effects of collisionless (Landau) damping are considered by comparing the unperturbed electron trajectories with the velocities of the waves constituting the resonances in the phase plane. The eigenvalues for the resonances are compared with those obtained from moment theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0680407

Entities

People

  • Harry N. Ewald

Organizations

  • Sperry Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Diffusion
  • Eigenvalues
  • Electric Fields
  • Electrons
  • Equations
  • Mathematics
  • Motion
  • Nonuniform
  • Reflection
  • Resonance
  • Trajectories

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics